Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608g |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
152244125171712 = 224 · 33 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31020,2017328] |
[a1,a2,a3,a4,a6] |
j |
466385893875/21509824 |
j-invariant |
L |
2.2849800448091 |
L(r)(E,1)/r! |
Ω |
0.57124500394638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608da1 2394g1 76608h3 |
Quadratic twists by: -4 8 -3 |